735940 has 24 divisors (see below), whose sum is σ = 1596672. Its totient is φ = 284640.

The previous prime is 735937. The next prime is 735949. The reversal of 735940 is 49537.

735940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 735899 and 735908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (735949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27 + ... + 1213.

It is an arithmetic number, because the mean of its divisors is an integer number (66528).

2⁷³⁵⁹⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 735940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798336).

735940 is an abundant number, since it is smaller than the sum of its proper divisors (860732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

735940 is a wasteful number, since it uses less digits than its factorization.

735940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 735940 is about 857.8694539381. The cubic root of 735940 is about 90.2846951877.

It can be divided in two parts, 735 and 940, that multiplied together give a triangular number (690900 = T₁₁₇₅).

The spelling of 735940 in words is "seven hundred thirty-five thousand, nine hundred forty".